How do you split this fraction

[Ariel Y]

I simplified 14+ √-75 / 35 and got 14+5i √3 / 35. How would you write this in a + bi form (split the fraction into two)? fourteen plus 5 i square root 3 divided by 35

 

[Mackattack]

Hi. I'm not an expert at this, but this is how I see it:
If you split them, it will be
14/35 + (5i√3)/35
2/5 + (√3/7)i

 

[pka]

I simplified 14+ √-75 / 35 and got 14+5i √3 / 35. How would you write this in a + bi form (split the fraction into two)? fourteen plus 5 i square root 3 divided by 35

Just do it: \(\left(\dfrac{14}{35}\right)+\left(\dfrac{4\sqrt 3}{35}\right)\bf{i}\)

 

[Dr.Peterson]

I simplified 14+ √-75 / 35 and got 14+5i √3 / 35. How would you write this in a + bi form (split the fraction into two)? fourteen plus 5 i square root 3 divided by 35

For many purposes, it makes sense to leave it as [MATH]\frac{14+5i\sqrt{3}}{35}[/MATH], because that will be easier to work with.

But if you are told to write it literally in [MATH]a + bi[/MATH] form, showing the real and imaginary parts (or if you just choose to), split it and simplify, as Mackattack did: [MATH]\frac{14}{35} + \frac{5\sqrt{3}}{35}i = \frac{2}{5} + \frac{\sqrt{3}}{7}i[/MATH]
But the way you wrote it, you omitted essential parentheses. You meant (14+5i √3) / 35.